Question

you are randomly playing songs in a playlist. the genres of the playlist are described in the table below. what is the probability of selecting a song that is not in the rock genre?

music genre	number of songs
metal	2

submit your answer as a simplified fraction or a decimal rounded to the hundredths place.

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Explanation:

Step1: Calculate total number of songs

$4 + 2=6$

Step2: Calculate number of non - rock songs

Number of non - rock songs is number of metal songs, which is 2.

Step3: Calculate probability of non - rock song

Probability $P=\frac{\text{Number of non - rock songs}}{\text{Total number of songs}}=\frac{2}{6}=\frac{1}{3}\approx0.33$

Answer:

$\frac{1}{3}$ or $0.33$